Tyler made a scale drawing of his apartment. The scale is 1 millimeter: 2 meters. The living room is 6 meters long in

3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

Slope-intercept form of equation is given as $y=-2 x-2$ .

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$y_{1}=2 \text {. }$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$

Hence, slope-intercept form of equation is given as y=-2x-2.

7 0

2 years ago

Why can't the product of two digit numbers ever be two digits

amm1812

Im pretty sure it can. 20 +20 = 40. if that helps...

7 0

4 years ago

Read 2 more answers

Das has 3/4 of bottle of water.He drinks 3/8 of the bottle.How much of the bottle dose he have left?

sesenic [268]

Answer:

3/8

Step-by-step explanation

Convert 3/4 to 6/8 to make it easier subract since this problem asks how much he has left.

So 6/8-3/8=3/8

4 0

3 years ago

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money nee

kondor19780726 [428]

Answer: negative.

Step-by-step explanation:

We know that the slope of the line $\frac{\text{change in y}}{\text{change in x}}$

Therefore, the slope for the given data $=\frac{y_2-y_1}{x_2-x_1}$

$\Rightarrow\ Slope=\frac{795-875}{20-10}\\=\frac{-80}{10}\\=-8...,\text{which is negative.}$

Hence, the word which describes the slope of the line representing the data in the table = negative.

8 0

3 years ago

Read 2 more answers

you have $895 in your checking account and write checks for $669, plus take $100 in cash out of your account. How much do you ha

Scilla [17]

To answer this we just need to set up a equation:-

895 - 669 - 100 = 126.

SO, after these transactions you will have $126 left.

Hope I helped ya!!

7 0

3 years ago